The table shows the location and magnitude of some notable earthquakes. How many times more energy was released by the earthquake in Peru than by the earthquake in Italy? Use the given equation for comparing earthquake intensity level and magnitude.

The Table Shows The Location And Magnitude Of Some Notable Earthquakes. How Many Times More Energy Was

Answers

Answer 1

Using the given logarithmic equation, it is found that 158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.

How many times more energy an earthquake releases than another?

According to the logarithmic function given in the problem, the ratio between the amounts of energy released is given by:

log r = M1 - M2

In which M1 and M2 are the magnitudes.

In this problem, considering the earthquakes in Peru and Italy, the magnitudes are M1 = 8.1, M2 = 5.9, hence:

log r = M1 - M2

log r = 8.1 - 5.9

log r = 2.2

[tex]10^{\log{r}} = 10^{2.2}[/tex]

r = 158.5

158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.

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Related Questions

Find the 20th item of the following sequence. -6, -4, -2, 0, ...​

Answers

Answer: 32.

Step-by-step explanation: Assuming that the first 4 numbers count, the sequence goes as follows:

-6, -4, -2, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, and 32.

Let me know if this is right! :)

The coldest temperature recorded on the surface of a planet was - 248 Celsius is the warmest temperature recorded on the surface of the planet was 108 Celsius what are the correspondence temperatures in degrees Fahrenheit

Answers

Answer:

-414.4 F° and 226.4 F°

hope it helps

Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)

Just answer part B please! :)​

Answers

Answer:

nonlinear

Step-by-step explanation:

Part B: nonlinear

The radius increases so the line is an arc going upwards not a linear line.

In other words, not a straight line.

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

serious help needed ASAP :(( with the file attached will give brainliest if possible

optionally would also appreciate an extra answer to this question: https://brainly.com/question/27139711 (that can be posted there instead of here if you want)

spending max amount of points that can be in a single question

thanks

Answers

Answer:

a) (x=6); b) (x= -5.5)

Step-by-step explanation:

find the midpoint of each of the pairs of coordinates.

((x1 + x2)/2 , (y1 +y2)/2)

Find mid points

#1

(3,2) (9,2)

[tex]\\ \rm\rightarrowtail (\dfrac{3+9}{2},\dfrac{2+2}{2})[/tex]

[tex]\\ \rm\rightarrowtail (\dfrac{12}{2},\dfrac{4}{2}[/tex]

[tex]\\ \rm\rightarrowtail (6,4)[/tex]

We know x is fixed

So Axis of symmetry=x=6

#2

(-18,3)(7,3)

[tex]\\ \rm\rightarrowtail (\dfrac{-11}{3},2)[/tex]

[tex]\\ \rm\rightarrowtail (-5.5,2)[/tex]

Axis of symmetry

x=-5.5

HELP IF U ACTUALLY KNOW THE ANSWER QUICK PLEASE

Answers

Answer: D

Step-by-step explanation:

16+18+19+21+21=95

95/5 is 19
95+37=132

132/6=22

Which transformation would create an image and a pre image that are similar figures?

Answers

The transformation which would create an image and pre image that are similar figures is dilation.

What is Similarity Transformation?

Similarity transformations are transformations where there occurs a dilation with one or more transformations like rotation, reflection or translation.

This is called so because the triangles so formed will be similar figures.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

When the pre image is reflected, rotated or translated, it is not affecting the shape and the size. So the image and the pre image will be congruent.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Dilation enlarges or reduces the size, so they are similar figures.

Hence dilation is the similar transformation.

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The electrical current, in amperes, in a circuit varies directly as the voltage. When 18 volts are applied, the current is 6 amperes. What is the current when 51 volts are applied?

Answers

Answer:

Step-by-step explanation:

6 Ampheres or 6A

Step-by-step explanation:

I = Current (unit is Amphere or A)

V = Voltage (unit is Volt or V)

R = Resistance ( unit is Ohm or Ω)

Formulas:

V=IR ; when getting the voltage

R=V/I; when getting the resistance

I=V/R; when getting the current

Solution of the Problem:

First, you have to get the resistance using the first given senario.

Distribute the given values (Voltage=15 Volts or 15V and Current= 5 Ampheres or 5A) to the formula on how to get the resistance.

R=V/I = 15 Volts/5 Ampheres

= 3 Ohms or 3Ω

Now, you have the value of the resistance which is 3 Ohms or 3Ω and the given value of voltage which is 18 Volts or 18V for the second senario.

I=V/R = 18 Volts/ 3 Ohms

= 6 Ampheres or 6A

So, the value of the current is 6 Ampheres or 6A

mark me brainliest and hope this helps!

y=1/2x+2 y=1/3x+2 solve for graphing ​

Answers

Answer:

I plotted it out on the graph and here it is:

When using a reflective device such as a Mira to bisect angle ABC where should the reflective device be placed?
A. Place the reflective device along line segment AB
B. Place the reflective device along line segment AC
C. Place one end of the reflective device on the vertex B and swing the other end until you can see the reflected line segment BC coincide with line segment AB
D. Place one end of the reflective device on the vertex A and swing the other end until you can see the reflected line segment AB coincide with line segment AC

Answers

Answer:

c. Place one end of the reflective device on the vertex B and swing the other end until you can see the reflected line segment BC coincide with line segment AB

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation y=19x relates proportional quantities x and y. What is the value of y when x is 4?

Answers

Answer:

y = 76

Step-by-step explanation:

Since x = 4

Substitute:

y = 19(4)

Multiply the numbers

y = 76

~Lenvy~

Hi! Could someone help me with this?

Answers

Answer:

480 in^3

Step-by-step explanation:

Volume = B*h

Base of the triangle = B*h*1/2

= 10*8*1/2

B = 40

Volume = 40*12 = 480

which is a correct method for solving this equation for X

Answers

Answer:

B

Step-by-step explanation:

adding both sides will leave you at x/3=15

then diving by 3, the two 3s will cancel out and you will be left with x=15

I Need help 75pts thanks in advance!

Answers

Answer:

m∠1 = 50° m∠2 = 130°m∠3 = 50°m∠4 = 130°

Explanation:

m∠2 = 130°

Then,

m∠4 = 130° ( vertically opposite angles )

Here m∠1 = m∠3

m∠1  + m∠2  + m∠3  + m∠4 = 360°

2(m∠1) = 360° - 130° * 2

m∠1 = 50°

m∠3 = 50°

Answer:

m∠1 = 50°

m∠3 = 50°

m∠4 = 130°

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4 = 130°

Linear pair:  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ m∠1 + m∠130° = 180°

⇒ m∠1 = 50°

As m∠1 = m∠3 then m∠3 = 50° also

What is the surface area of this rectangular prism?

198 in²

312 in²

396 in²

504 in²
rectangular prism with length labeled 7 inches, width labeled 6 inches, and height labeled 12 inches

Answers

504in2
LxWxH
7x6x12=504in2

Answer:

it's 396

Step-by-step explanation:

I took the k-12 quiz math Surface Area quiz

the question is attached

Answers

Hope it helpssssss best of luckkkkk

Could someone help me with this?

Answers

Step-by-step explanation:

Identity the variable:

Initial Velocity is 35.

Initial Height is 204

Final Height is 0.

What looking for the time.

So we have

[tex]0 = - 16 {t}^{2} + (35)t + 204[/tex]

Use Quadratic Formula,

[tex] - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

A is -16, B is 35 , C is 204.

So we have

[tex] - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} [/tex]

[tex] - 35± \frac{ \sqrt{3465} }{ - 32} [/tex]

[tex]{35} ± \frac{ \sqrt{3465} }{ - 32} [/tex]

The positve solution is

[tex]4.83[/tex]

So the answer is 4.83 seconds

9. All quadrilaterals are parallelogram. A True B. False C. Maybe D. Sometimes cial kind of na lelogram because​

Answers

Answer:

B

Step-by-step explanation:

This statement is false because quadrilaterals just mean a polygon with 4 sides, but a parallelogram is a shape with two sides of opposite length. For example, a scalene quadrilateral has 4 sides, but none are the same length.

99x78
123x56
98x172
38x900

Answers

Answer:

99x78=7722

123x56=6888

98x172=16856

900x38=34200

Step-by-step explanation:


The quadratic function

Answers

Answer:

Four and three arithmetic numbers of this equation are then

Step-by-step explanation:

[tex]x = 3 = x = 4 > - 4 > < - 3 = x = 4[/tex]

And the numbers are equal

[tex]x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12[/tex]

Stephanie has brought 12 bottles of juice to a party but there are more than 12 children. If she gives each child
3/4 of a bottle, how many children will she be able to serve?

Answers

Answer:

16 children

Step-by-step explanation:

divide 12 by .75 you get 16

hope that helps

molly makes 70% of her free throws. The random numbers below represent 20 trials of a simulator of two free throws, using the numbers 9 through 0
38 38 21 50 64
71 66 42 47 90
80 82 29 98 27
87 89 89 93 03
let the numbers from --- to ----- represent a successful free throw.
let the numbers from ---- to ----- represent a missed free throw.
based on the simulated results, the probability that molly makes both free throws is
----- or ------%

Answers

The random number simulator of Molly's throws is an illustration of probability.

The probability of making both free throws is 30%

How to determine the probability?

From the complete question, we understand that:

The simulator is based on numbers 0 to 9

Given that she makes 70% of her free throws, then it means that 7 of the 10 numbers would represent a successful throw, while the other three would represent a missed throw

So, we have:

Let the numbers from 0 to 6 represent a successful free throw.Let the numbers from 7 to 9 represent a missed free throw.

From the random numbers, she has two successful free throws in:

21 50 64 66 42 03 --- 6 numbers of 20

The probability of making two free throws is then calculated as:

P = 6/20

Evaluate

P = 30%

Hence, the probability of making both free throws is 30%

Read more about probability at:

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Write each expression without the absolute value symbol.
PLEASE HELP

Answers

Step-by-step explanation:

| x - 19 + 11 | = | x - 8 |

look at the picture.

The expression without the absolute value symbol is:

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

|(x - 19) + 11|

This can be written as,

= |x - 19 + 11|
= |x - 8|

Now,

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

Thus,

The expression without the absolute value symbol is:

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

Learn more about expressions here:

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Find the length of the ramp. ?
35 ft
12 ft
The length of the ramp is_____ ft.

Answers

Answer:

37 Feet

Step-by-step explanation:

We can use Pythagoras Theorem to solve this:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]35^{2} +12^{2} =c^{2}[/tex]

[tex]1225+144=c^{2}[/tex]

[tex]1369=c^{2}[/tex]

[tex]\sqrt{1369} =c[/tex]

37 = c

Answer:

37 ft

Step-by-step explanation:

Use Pythagorean Theorem for right triangles to find the hypotenuse

35^2 + 12^2 = Ramp^2       ramp = 37 ft

4 2 5 0
3 2 8 7
2 1 8 ?​

Answers

Answer:

5

Step-by-step explanation:

Solve by completing the square

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 8x = 33 [/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 8x +16 = 33 + 16 [/tex]

[tex]\qquad \sf  \dashrightarrow \: (x + 4) {}^{2} = 49[/tex]

[tex]\qquad \sf  \dashrightarrow \: x + 4 = \sqrt{49} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x + 4 = \pm7[/tex]

Hence, there are two solutions ~

1. when x + 4 = 7

[tex]\qquad \sf  \dashrightarrow \: x + 4 = 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 7 - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 3[/tex]

2. when x + 4 = -7

[tex]\qquad \sf  \dashrightarrow \: x + 4 = - 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = - 7 - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = - 11[/tex]

I hope you understood ~

20. You owe $1,568.00 on a credit card with a limit of $2,200.00 at an interest rate of 11.3% APR. You pay $300.00/month until it is paid off. How many months does it take you to pay it off?
- 6 months
- 9 months
- 4 months
- 7 months

Answers

Answer:

  (a)  6 months

Step-by-step explanation:

The formula for figuring the monthly payment on an amortized loan can be used for finding the length of time it takes to pay off the loan.

That formula is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment, P is the principal value of the loan, r is the annual interest rate, and t is the number of years.

__

Using the given information, we can solve for t:

  300 = 1568(0.113/12)/(1 -(1 +0.113/12)^(-12t))

  1 -(1 +0.113/12)^(-12t) = 1568(0.113)/(12(300))

  (1 +0.113/12)^(-12t) = 1 -(1568·0.113)/(12·300) ≈ 0.950782

Taking logs, we get ...

  -12t·log(1 +0.113/12) = log(0.950782)

  t = log(0.950782)/(-12·log(1 +0.113/12)) ≈ 0.448739 . . . . years

This fraction of a year is ...

  (12 months/year)(0.448739 years) = 5.38 months

It will take you 6 months to pay off the loan.

Suppose you deposit $2,500 in a savings account that pays interest at an annual rate of 6%. If no money is added or withdrawn from the account, answer the following questions,
a. How much will be in the account after 3 years?
b. How much will be in the account after 18 years?
c. How many years will it take for the account to contain $3,000?
d. How many years will it take for the account to contain $3,500?

Answers

Answer:

A: 2977.54

B: 7135.84788228

C: 4

D: 6

Step-by-step explanation:

Mary borrows $5,000 dollars from her mother at a 3% simple interest rate and pays her $600 in interest after years. What is the value of ?
2
3
4
5

Answers

Answer:

4 years

Explanation:

[tex]\sf simple \ interest :\dfrac{P * R *T}{100}[/tex]

[tex]\hookrightarrow \sf \dfrac{5000*3*t}{100} = 600[/tex]

[tex]\hookrightarrow \sf {15000*t} = 600(100)[/tex]

[tex]\hookrightarrow \sf t = \dfrac{60000}{15000}[/tex]

[tex]\hookrightarrow \sf t = 4[/tex]

Answer:

The time will be 4 years .

Step-by-step explanation:

Given :

Simple Interest = $600

Principle = $5,000

Rate = 3%

Time = ?

Formula for Simple Interest = P×R×T / 100

=> 5,000 × 3 × T / 100 = 600

=> T = 60,000 / 5,000×3

=> T = 60,000/15000

=> T = 4 years

A quantity with an initial value of 4000 grows exponentially at a rate of 0.05% every 5 decades. What is the value of the quantity after 1 year, to the nearest hundredth?

Answers

The value of the quantity after 1 year, to the nearest hundredth is 4000.00

The exponential form of an equation

The standard exponential equation is eexpressed as:

[tex]P(t)=P_0e^{kt}[/tex]

Given the following parameters

[tex]P_0=4000\\r =0.0005\\t = \frac{1}{50} =0.02 (yearly)[/tex]

Substitute into the formula to have:

[tex]P(t)=4000e^{0.0005(0.02)}\\P(1)=4000e^{0.00001}\\P(1)=4000[/tex]

Hence the value of the quantity after 1 year, to the nearest hundredth is 4000.00

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the ratio between two no is 2:3 . if the consequent is 24 the antecendent is​

Answers

antecedent : 16

ratio: 2 : 3

=========

antecedent : 2

consequent : 3

=============

[tex]\rightarrow \sf \dfrac{2}{3}=\dfrac{x}{24}[/tex]           [ x is antecedent ]

[tex]\rightarrow \sf 2(24)=3(x)[/tex]

[tex]\rightarrow \sf 48=3(x)[/tex]

[tex]\rightarrow \sf x= 16[/tex]

Additional information:

In the ratio, a : b  Here the "antecedent is a" and "consequent is b"

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